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Finding the Fourth Proportional to 30,199.50, 41,676.03 and 16,951.50

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Solution

The fourth proportional to 30,199.50, 41,676.03 and 16,951.50 is: 23,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,199.50 : 41,676.03 = 16,951.50 : x
  2. Step 2: Convert to fraction form
    30,199.50/41,676.03 = 16,951.50/x
  3. Step 3: Cross multiply
    30,199.50x = 41,676.03 × 16,951.50
  4. Step 4: Simplify right side
    30,199.50x = 706,471,222.55
  5. Step 5: Solve for x
    x = 706,471,222.55/30,199.50
  6. Step 6: Final answer
    x = 23,393.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.